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1257157485 = 32589313897
BaseRepresentation
bin100101011101110…
…1011001101101101
310020121120012212100
41022323223031231
510033313014420
6324425125313
743103443113
oct11273531555
93217505770
101257157485
115956a6031
122b1029839
131705b768c
14bcd6bab3
157557b190
hex4aeeb36d

1257157485 has 24 divisors (see below), whose sum is σ = 2203563960. Its totient is φ = 662948352.

The previous prime is 1257157481. The next prime is 1257157487. The reversal of 1257157485 is 5847517521.

1257157485 is a `hidden beast` number, since 1 + 2 + 5 + 71 + 574 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213802884 + 1043354601 = 14622^2 + 32301^2 .

It is not a de Polignac number, because 1257157485 - 22 = 1257157481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1257157485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257157481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152944 + ... + 160953.

It is an arithmetic number, because the mean of its divisors is an integer number (91815165).

Almost surely, 21257157485 is an apocalyptic number.

1257157485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1257157485 is a deficient number, since it is larger than the sum of its proper divisors (946406475).

1257157485 is a wasteful number, since it uses less digits than its factorization.

1257157485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313997 (or 313994 counting only the distinct ones).

The product of its digits is 392000, while the sum is 45.

The square root of 1257157485 is about 35456.4166971227. The cubic root of 1257157485 is about 1079.2694776870.

The spelling of 1257157485 in words is "one billion, two hundred fifty-seven million, one hundred fifty-seven thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 45 89 267 445 801 1335 4005 313897 941691 1569485 2825073 4708455 14125365 27936833 83810499 139684165 251431497 419052495 1257157485